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Finding the Third Proportional to 76.88 and 160.50

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Solution

The third proportional to 76.88 and 160.50 is: 335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 160.50 = 160.50 : x
  2. Step 2: Convert to fraction form
    76.88/160.50 = 160.50/x
  3. Step 3: Cross multiply
    76.88x = 160.50 × 160.50
  4. Step 4: Simplify right side
    76.88x = 25,760.25
  5. Step 5: Solve for x
    x = 25,760.25/76.88
  6. Step 6: Final answer
    x = 335.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.